1. |
Semigroups generated by a group and an idempotent |
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Communications in Algebra,
Volume 26,
Issue 2,
1998,
Page 243-254
Donald B. McAlister,
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摘要:
It is well known that the semigroup of all transformations on a finite setXof ordernis generated by its group of units, the symmetric group, and any idempotent of rankn− 1. Similarly, the symmetric inverse semigroup onXis generated by its group of units and any idempotent of rankn− 1 while the analogous result is true for the semigroup of all n × n matrices over a field.
ISSN:0092-7872
DOI:10.1080/00927879808826145
出版商:Gordon and Breach Science Publishers Ltd.
年代:1998
数据来源: Taylor
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2. |
Anodality |
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Communications in Algebra,
Volume 26,
Issue 2,
1998,
Page 345-393
Gabriel Picavet,
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摘要:
Anodality (also termed u-closedness) is a notion coming from K-theory and is usefull when studying Pic A[X, X-1]. An injective ring morphismA→Bis called anodal if an elementxinBbelongs toAwheneverThen a ringAwith total quotient ringKis said to be anodal ifA→Kis anodal. We show that a weak Baer ringAis anodal if and only if for each pair (a, b) ∈ A2such thatthere is some z ∈Asuch that. Anodality of weak Baer rings is descended by faithfully flat or anodal morphisms. We defineu-integral morphisms similar toR. Swan's subintegral morphisms and show that for any injective morphismA→Bthere is a u-closuresuch thatis u-integral. A u-integral morphism is locally an epimorphism and is a direct limit of unramified morphisms. This result has many consequences. An injective integral morphism which is injective on the spectrum is locally anodal whence anodal. If A is a weak Baer ring, then A is locally anodal if A is locally unibranched; the converse is true if, in addition, A is one-dimensional and Noetherian. We introduce new closures for injective ring morphismsA→Bin order to evaluate. In some measure, seminormality and anodality are dual notions : among other results, we get that Picfis injective for a u-integral ring morphismf, while Picfis surjective iffis subintegral.
ISSN:0092-7872
DOI:10.1080/00927879808826134
出版商:Gordon and Breach Science Publishers Ltd.
年代:1998
数据来源: Taylor
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3. |
On the conjugacy problem for carter subgroups |
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Communications in Algebra,
Volume 26,
Issue 2,
1998,
Page 395-399
F.Dalla Volta,
A. Lucchini,
M.C. Tamburini,
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ISSN:0092-7872
DOI:10.1080/00927879808826135
出版商:Gordon and Breach Science Publishers Ltd.
年代:1998
数据来源: Taylor
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4. |
Poisson polynomial identities |
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Communications in Algebra,
Volume 26,
Issue 2,
1998,
Page 401-416
Daniel R. Farkas,
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摘要:
We define a notion of polynomial identity for Poisson algebras. A multilinearization process is described and symplectic algebras are characterized by their identities.
ISSN:0092-7872
DOI:10.1080/00927879808826136
出版商:Gordon and Breach Science Publishers Ltd.
年代:1998
数据来源: Taylor
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5. |
Nilpotent crossed modules and homology |
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Communications in Algebra,
Volume 26,
Issue 2,
1998,
Page 417-424
A.R. Grandjean,
M. Ladra,
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ISSN:0092-7872
DOI:10.1080/00927879808826137
出版商:Gordon and Breach Science Publishers Ltd.
年代:1998
数据来源: Taylor
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6. |
Dualpronormality and fitting classes |
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Communications in Algebra,
Volume 26,
Issue 2,
1998,
Page 425-433
Alma D'Aniello,
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ISSN:0092-7872
DOI:10.1080/00927879808826138
出版商:Gordon and Breach Science Publishers Ltd.
年代:1998
数据来源: Taylor
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7. |
Subalgebras of free leibniz algebras |
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Communications in Algebra,
Volume 26,
Issue 2,
1998,
Page 435-446
Alexander A. Mikhalev,
Ualbai U. Umirbaev,
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摘要:
Leibniz algebras are in some sense non-(anti)commutative analogs of Lie algebras. The variety of all Lie algebras has the Schreier property (i.e. any subalgebra of the free algebra is free). This is not the case in the variety of all Leibniz algebras. Nevertheless we prove that:
ISSN:0092-7872
DOI:10.1080/00927879808826139
出版商:Gordon and Breach Science Publishers Ltd.
年代:1998
数据来源: Taylor
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8. |
Minimal injective resolution of an order over a local dedekind domain |
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Communications in Algebra,
Volume 26,
Issue 2,
1998,
Page 447-451
Hisaaki Fujita,
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ISSN:0092-7872
DOI:10.1080/00927879808826140
出版商:Gordon and Breach Science Publishers Ltd.
年代:1998
数据来源: Taylor
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9. |
Associated and coassociated primes |
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Communications in Algebra,
Volume 26,
Issue 2,
1998,
Page 453-466
H. Ansari-Toroghy,
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ISSN:0092-7872
DOI:10.1080/00927879808826141
出版商:Gordon and Breach Science Publishers Ltd.
年代:1998
数据来源: Taylor
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10. |
The hopf algebra structure on a double crossproduct* |
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Communications in Algebra,
Volume 26,
Issue 2,
1998,
Page 467-476
Wenzheng Zhao,
Shuanhong Wang,
Zhengming Jiao,
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ISSN:0092-7872
DOI:10.1080/00927879808826142
出版商:Gordon and Breach Science Publishers Ltd.
年代:1998
数据来源: Taylor
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